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Finding the Fourth Proportional to 38,440, 57,663.78 and 10,738

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Solution

The fourth proportional to 38,440, 57,663.78 and 10,738 is: 16,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,440 : 57,663.78 = 10,738 : x
  2. Step 2: Convert to fraction form
    38,440/57,663.78 = 10,738/x
  3. Step 3: Cross multiply
    38,440x = 57,663.78 × 10,738
  4. Step 4: Simplify right side
    38,440x = 619,193,669.64
  5. Step 5: Solve for x
    x = 619,193,669.64/38,440
  6. Step 6: Final answer
    x = 16,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.